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concordance correlation coefficient : ウィキペディア英語版
concordance correlation coefficient
In statistics, the concordance correlation coefficient measures the agreement between two variables, e.g., to evaluate reproducibility or for inter-rater reliability.
==Definition==
Lawrence Lin has the form of the concordance correlation coefficient \rho_c as
:\rho_c = \frac,
where \mu_x and \mu_y are the means for the two variables and \sigma^2_x and \sigma^2_y are the corresponding variances. \rho is the correlation coefficient between the two variables.
This follows from its definition〔 as
:\rho_c = 1 - \frac)^2},
where the mean is computed as
:\bar = \frac \sum_^N x_n
and the variance
:s_x^2 = \frac \sum_^N (x_n - \bar)^2
and the covariance
:s_ = \frac \sum_^N (x_n - \bar)(y_n - \bar) .
Whereas the ordinary correlation coefficient (Pearson's) is immune to whether the biased or unbiased versions for estimation of the variance is used, the concordance correlation coefficient is not. In the original article Lin suggested the 1/N normalization,〔
while in another article Nickerson appears to have used the 1/(N-1),
i.e., the concordance correlation coefficient may be computed slightly differently between implementations.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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